Use the standard algorithm to solve this problem.
311- 189=
What is 122?
Bonus: Your student got the answer 278. What mistake was made and what could you show the student to avoid this error in the future?
100
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
What is Fibonacci's sequence?
100
This problem solving strategy has students suggest an answer and try it out to see if satisfies the demands of the problem. (p. 4)
What is guess and check?
100
Give an example of a multiplication word problem.
Each team can earn this 100 points for sharing their problem.
What is (answers will vary)?
200
Devise a Plan
What is Polya's second principal?
200
Use lattice multiplication to solve 123 x 54.
What is (show it on the board)?
Bonus: Your student got 6542, what was the error the student made in the algorithm?
200
triangular array full of patterns and often used to solve probability, named after a French mathematician
What is Pascal's Triangle?
200
This strategy is used for problems that require a consideration of many possibilities to ensure that no possibilities are missed.
What is make an orderly list? (p. 13)
200
Convert 399 to binary code.
What is 110001111?
Bonus: Now convert it to Roman numerals for 100 points.
300
Carry out the plan
What is Polya's third principal?
300
Use the scaffolding algorithm to divide 2907 by 9.
What is 323
1. use 900 3 times
2. use 90 2 times
3. use 9 3 times.
300
Name the next three terms in this pattern and find the algebraic rule
7, 11, 15, ____, ____, ____
What is 19, 23, 27...4x + 3?
300
This strategy uses a letter to represent an unknown value in the problem.
What is use a variable?
Algebra as a great explainer. (p. 31)
algebraic expression, algebraic reasoning, equation (p.32-34)
300
Talon is thinking of a number. Twice a number increased by 5 is two more than 5 times the number.
What is 1?
400
Guess and Check
What is Polya's fourth principal?
400
Use the pure subtraction algorithm to solve 546- 172.
What is 374?
Bonus: Use manipulatives to model this problem.
Each team can get 100 bonus points.
400
Name the next 3 terms and find the algebraic rule for the pattern.
1, 4, 9, 16, _____, _____, _____
What is 25, 36, 49... x times x or x squared?
400
This strategy is best used when you can't see how to begin a solution. You begin at the desired conclusion and work toward the beginning of the problem.
What is work backward? (p. 42)
400
SEND + MORE = MONEY
What is 9567 + 1085 = 10652
500
Make sense of problems and persevere in solving them.
Reason astractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Name 4 of the 8 Standards of Mathematical Practices introduced with Common Core
500
Use opposite change algorithm to solve 463+277=.
What is
460+280=
440+300= 740
Bonus: Use manipulatives to model this problem. Each team can earn 100 points.
500
Name the next three terms in the pattern and find the algebraic rule for the pattern.
3, 7, 13, 18, ____, ____, ____
What is 23, 28, 33... 5x-2?
500
Suppose you are guaranteed that a problem has a solution. Use the data (information provided) of the problem to decide which outcomes are impossible. Then at least one of the possibilities not ruled out must prevail. If all but one possibility can be ruled out, then it must prevail.
What is eliminate possibilities? (p. 43)
Bonus: 200 points to any group who can discuss the Pigeonhole Principal. (p. 45)
500
Four suggestions Marilyn Burns gives when teaching students to use "Hands on the Table" mental math instead of paper and pencil.
What is
we use our heads
we do it together
we need everyone's help
we record on the board?